26478160 has 80 divisors (see below), whose sum is σ = 64884240. Its totient is φ = 10035200.

The previous prime is 26478149. The next prime is 26478161. The reversal of 26478160 is 6187462.

It can be written as a sum of positive squares in 8 ways, for example, as 222784 + 26255376 = 472^2 + 5124^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26478161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234264 + ... + 234376.

It is an arithmetic number, because the mean of its divisors is an integer number (811053).

Almost surely, 2^26478160 is an apocalyptic number.

26478160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26478160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32442120).

26478160 is an abundant number, since it is smaller than the sum of its proper divisors (38406080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26478160 is a wasteful number, since it uses less digits than its factorization.

26478160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 26478160 is about 5145.6933449245. The cubic root of 26478160 is about 298.0546721905.

The spelling of 26478160 in words is "twenty-six million, four hundred seventy-eight thousand, one hundred sixty".